Binary Linear Codes With Few Weights

被引:11
|
作者
Qi, Yanfeng [1 ]
Tang, Chunming [2 ]
Huang, Dongmei [2 ]
机构
[1] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Zhejiang, Peoples R China
[2] China West Normal Univ, Sch Math & Informat, Sichuan Nanchong 637002, Peoples R China
基金
中国国家自然科学基金;
关键词
Linear codes; weight distribution; association schemes; authentication codes; secret sharing schemes; SECRET SHARING SCHEMES; 3-WEIGHT CODES; CYCLIC CODES; DISTRIBUTIONS;
D O I
10.1109/LCOMM.2015.2506576
中图分类号
TN [电子技术、通信技术];
学科分类号
0809 ;
摘要
Linear codes can be applied in secret sharing, authentication codes, association schemes, and strongly regular graphs. This letter generalizes the construction of linear codes by Ding et al. [9], uses more flexible construction method, and presents linear codes with few weights. These codes contain twoweight linear codes, one-weight linear codes, and three-weight linear codes. These codes contain some optimal codes meeting certain bound on linear codes.
引用
收藏
页码:208 / 211
页数:4
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